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Popular >

simplify e^{2t}*e^{-2t}

Solution

simplify

e^{2 t} \cdot e^{- 2 t}

Solution

1

Solution steps

e^{2 t} e^{- 2 t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{2 t} e^{- 2 t} = e^{2 t - 2 t}

= e^{2 t - 2 t}

Add similar elements:

2 t - 2 t = 0

= e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

What is e^{2t}*e^{-2t} ?
The solution to e^{2t}*e^{-2t} is 1